Question 1038366
slow speed is x mph for y hours, so the distance is xy miles=60.  y=60/x
faster speed is (x+30)mph for 2y hours, so the distance is 2xy+60y miles=240, y(2x+60)=240, y=240/(2x+60)
Set the y's equal
60/x=240/(2x+60)
cross multiply
120x+3600=240x
120x=3600
x=30 mph
2 hours to go 60 miles, so y = 2
x+30 mph=60 mph.  For 4 hours (2 more), and that is 240 miles
That checks.
The speeds were 30 and 60 mph.